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Finding the Fourth Proportional to 4,291.46, 6,428.24 and 3,454.01

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Solution

The fourth proportional to 4,291.46, 6,428.24 and 3,454.01 is: 5,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.46 : 6,428.24 = 3,454.01 : x
  2. Step 2: Convert to fraction form
    4,291.46/6,428.24 = 3,454.01/x
  3. Step 3: Cross multiply
    4,291.46x = 6,428.24 × 3,454.01
  4. Step 4: Simplify right side
    4,291.46x = 22,203,155.83
  5. Step 5: Solve for x
    x = 22,203,155.83/4,291.46
  6. Step 6: Final answer
    x = 5,173.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.